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Titlebook: Studies in Non-Linear Stability Theory; Wiktor Eckhaus Book 1965 Springer-Verlag, Berlin · Heidelberg 1965 Systemtheorie.differential equa

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書目名稱Studies in Non-Linear Stability Theory
編輯Wiktor Eckhaus
視頻videohttp://file.papertrans.cn/881/880880/880880.mp4
叢書名稱Springer Tracts in Natural Philosophy
圖書封面Titlebook: Studies in Non-Linear Stability Theory;  Wiktor Eckhaus Book 1965 Springer-Verlag, Berlin · Heidelberg 1965 Systemtheorie.differential equa
描述Non-linear stability problems formulated in terms of non-linear partial differential equations have only recently begun to attract attention and it will probably take some time before our understanding of those problems reaches some degree of maturity. The passage from the more classical linear analysis to a non-linear analysis increases the mathematical complexity of the stability theory to a point where it may become discouraging, while some of the more usual mathematical methods lose their applicability. Although considerable progress has been made in recent years, notably in the field of fluid mechanics, much still remains to be done before a more permanent outline of the subject can be established. I have not tried to present in this monograph an account of what has been accomplished, since the rapidly changing features of the field make the periodical literature a more appropriate place for such a review. The aim of this book is to present one particular line of research, originally developed in a series of papers published in ‘Journal de Mecanique‘ 1962-1963, in which I attempted to construct a mathematical theory for certain classes of non-linear stability problems, and to
出版日期Book 1965
關(guān)鍵詞Systemtheorie; differential equation; instability; mechanics; operations research; partial differential e
版次1
doihttps://doi.org/10.1007/978-3-642-88317-0
isbn_softcover978-3-642-88319-4
isbn_ebook978-3-642-88317-0Series ISSN 0081-3877
issn_series 0081-3877
copyrightSpringer-Verlag, Berlin · Heidelberg 1965
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Periodic Solutions in Poiseuille Flow,As we already have remarked, the analysis of stability of Poiseuille flow leads to a mathematical problem which belongs to the class defined and studied in chapters 6 and 7. A separate and somewhat more detailed investigation of this problem appears of interest for two reasons.
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Behaviour of Solutions, behaviour in the limit as . → ∞, and in the question whether in that limit the amplitude functions approach finite, stationary values. Inverting the question, we can first construct some stationary solutions of Eqs (2.7.3) and then investigate under what conditions these solutions represent the lim
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